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31342368 = 253417963
BaseRepresentation
bin111011110001…
…1111100100000
32011222100122110
41313203330200
531010423433
63035435320
7530256111
oct167437440
964870573
1031342368
1116767a92
12a5b5b40
136654ca5
14423c208
152b41963
hex1de3f20

31342368 has 48 divisors (see below), whose sum is σ = 84290976. Its totient is φ = 10191360.

The previous prime is 31342361. The next prime is 31342369. The reversal of 31342368 is 86324313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31342361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 7917.

It is an arithmetic number, because the mean of its divisors is an integer number (1756062).

Almost surely, 231342368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42145488).

31342368 is an abundant number, since it is smaller than the sum of its proper divisors (52948608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31342368 is a wasteful number, since it uses less digits than its factorization.

31342368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8017 (or 8009 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 31342368 is about 5598.4254929400. The cubic root of 31342368 is about 315.2902942460.

The spelling of 31342368 in words is "thirty-one million, three hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 7963 15926 23889 31852 47778 63704 95556 127408 191112 254816 326483 382224 652966 764448 979449 1305932 1958898 2611864 3917796 5223728 7835592 10447456 15671184 31342368